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Finding the Third Proportional to 230,403 and 505,092

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Solution

The third proportional to 230,403 and 505,092 is: 1,107,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,403 : 505,092 = 505,092 : x
  2. Step 2: Convert to fraction form
    230,403/505,092 = 505,092/x
  3. Step 3: Cross multiply
    230,403x = 505,092 × 505,092
  4. Step 4: Simplify right side
    230,403x = 255,117,928,464
  5. Step 5: Solve for x
    x = 255,117,928,464/230,403
  6. Step 6: Final answer
    x = 1,107,268.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.